Solve 9*10^9*4*10^-6*6*10^-9

$$9 \times { 10 }^{ 9 } \times 4 \times { 10 }^{ -6 } \times 6 \times { 10 }^{ -9 }$$

Evaluate

$$\frac{27}{125000}=0.000216$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -6 to get 3.

$$9\times 10^{3}\times 4\times 6\times 10^{-9}$$

To multiply powers of the same base, add their exponents. Add 3 and -9 to get -6.

$$9\times 10^{-6}\times 4\times 6$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$9\times \frac{1}{1000000}\times 4\times 6$$

Multiply 9 and \frac{1}{1000000} to get \frac{9}{1000000}.

$$\frac{9}{1000000}\times 4\times 6$$

Multiply \frac{9}{1000000} and 4 to get \frac{9}{250000}.

$$\frac{9}{250000}\times 6$$

Multiply \frac{9}{250000} and 6 to get \frac{27}{125000}.

$$\frac{27}{125000}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3} \cdot 5 ^ {6}} = 0.000216$$